Variable element is . . . . . . . .

Statement I The product of coefficient of correlation, standard deviation of variable 'X' and Standard deviation of variable 'Y' gives the measure of covariance between X and Y variables.
Statement II The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct while Statement II is incorrect

D

Statement I is incorrect while Statement II is correct

In the generation of element geometries, if dx dy represents an area element in the real element and dεdη represents the corresponding area element in the master element, then what is the expression for Jacobian je?

A

(dx dy) (dεdη) }\) View Answer]

B

\(\frac{dx}{d\epsilon} \frac{dy}{d\eta}\)

C

\(\frac{d\epsilon}{dx} \frac{d\eta}{dy}\)

D

\(\frac{1}{(dx dy) (d\epsilon d\eta)}\)

To produce a component, any of the four processes can be adopted. Process A: Fixed cost = Rs. 20, Variable cost/piece = Rs. 4 Process B: Fixed cost = Rs. 50, Variable cost/piece = Rs. 3 Process C: Fixed cost = Rs. 60, Variable cost/piece = Rs. 2 Process D: Fixed cost = Rs. 70, Variable cost/piece = Rs. 1 Which of the following process is the most economical to produce 100 pieces in a batch?

A

Process C

B

Process D

C

Process B

D

Process A

In method of serial learning for an experiment relating to the effect of meaningfulness on the rate of learning, the rate of learning can be conceptualised as
1. dependent variable
2. independent variable
3. organimic variable
4. stimulus variable
Select the correct answer:

A

Only 1

B

Only 2

C

3 and 4

D

1 and 2

Read the following statements and mark your answer according to the given below.
1. For variable input APP = MPP in the first stage.
2. For variable input APP = MPP at the end of the 1^st stage.
3. For variable input APP = MPP at the start of 2^nd stage.
4. For variable input APP = MPP in the 2^nd stage.

A

1 and 3

B

1 and 4

C

2 and 3

D

2 and 4

In the question one statement is given, followed by two conclusions, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statement. Statement: A function is a relation between a set of input elements and a set of possible output elements where each input is related to exactly one output. Conclusion I: Every input element is related to every output element. Conclusion II: Every input element is related to one element of the output.

A

Only conclusion I follows

B

Only conclusion II follows

C

Neither I nor II follows

D

Both I and II follows

In the following questions, element (ii) is related to element (i) in a particular way in four pairs of figures. Find out the pair of figures in which the element (ii) is not related to element (i).

A

B

C

D

Which of the following option is correct about the displacement reaction? In this reaction, one element can displace the other element. Low reactive element can not displace the high reactive element.

A

Only 1 is correct

B

Only 2 is correct

C

Both are correct

D

Both are incorrect

According to the conservation law, “Net mass flow across the fluid element is equal to the rate of change of mass inside the element”. But, stating the final equation, “Net mass flow across the fluid element + the rate of change of mass inside the element = 0”. Why is the operation not subtraction?

A

Irrespective of the law, the sum is always zero

B

The two terms are always opposite in sign

C

Change in sign is not considered

D

Rate of change may be increase or decrease

In a two variable (X and Y) regression analysis, the regression coefficients are bxy = 0.6 and byx = 0.8. If y is dependent variable and x is independent variable, what is the percentage of variations in Y explained by X?

A

47%

B

48%

C

49%

D

36%

Variable element is . . . . . . . .

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